a²u a²u Solve Laplace's equation, + ax² ay2 = 0, 0 < x <a, 0 < y < b, (see (1) in Section 12.5) for the given semi-infinite plate extending in the positive y-direction. Assume that u(x, y) is bounded at y → co. 00 u(x, y) = u=0 + * Σ An n = 1 u =0 u = f(x) π x where An 2 == πT · ST f(x) sin(nx) dx 10